Holographic computation of quantum corrections to the bulk cosmological constant

We explore the construction of the dual bulk theory in the flow equation approach. We compute the vacuum expectation value of the Einstein operator at the next-to-leading order in the $1/n$ expansion using a free O($n$) vector model. We interpret the next-to-leading correction as the quantum correct...

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Bibliographic Details
Published inProgress of theoretical and experimental physics Vol. 2019; no. 4
Main Authors Aoki, Sinya, Balog, Janos, Yokoyama, Shuichi
Format Journal Article
LanguageEnglish
Published Oxford Oxford University Press 01.04.2019
Subjects
Geometry
Physics
Quantum field theory
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Summary:We explore the construction of the dual bulk theory in the flow equation approach. We compute the vacuum expectation value of the Einstein operator at the next-to-leading order in the $1/n$ expansion using a free O($n$) vector model. We interpret the next-to-leading correction as the quantum correction to the cosmological constant of the anti-de Sitter space. We finally comment on how to generalize this computation to matrix elements of the Einstein operator for excited states.
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ISSN:2050-3911
2050-3911
DOI:10.1093/ptep/ptz026